Math Homework Problems
Just a few math word problems to agitate your brain cells.
These questions are asked in the 2nd year high school level:
1. The ratio of Albert’s age to Boyet’s age is 5:7. In how many years will their ages be in the ratio of 4:5?
2. The squares of two consecutive odd numbers differ by 88. What are the numbers?
3. If a man walks to his factory at 6km/hr, he arrives 3 minutes before the time. If he walks at 5km/hr, he arrives 1 minute late. How far is his house from the factory?
Let's get started...
1. Let x = number of years in the future.
(x+2)^2 - x^2 = 88
Let D = the distance from the house to the factory, which is the same whether the man walks at 6km/hr or 5km/hr. What differs is how long it takes the man to reach the factory.
That difference is 4 minutes, or 4/60 or 1/15 of an hour.
Therefore, if t represents the time in hours,
6t = 5(t + 1/15)
6(1/3) = 2 km
It takes the man 20 minutes to cover the 2 km distance if he walks at 6km/hr, and 24 minutes if he walks at 5km/hr.
Why doesn't he just leave his house a minute earlier? Sheesh! :-)
Related: Can the level of Math education sink any lower?
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